ATI TEAS Math Practice Test

Correct Answer: D

Rationale: To find the possible costs, we divide the total amount spent by the number of packages: $16/4 packages = $4 per package. Since Hannah spends at least $16, the cost per package must be less than or equal to $4. Therefore, the correct inequality is 16 ≤ 4p (Option D). The other choices are incorrect because they do not accurately represent the relationship between the total spending and the number of packages purchased.

Correct Answer: C

Rationale: To find the final dosage, we first reduce 310 mg by 1/5, which is 310 * (1 - 1/5) = 248 mg. Then, we further reduce it by 20 mg, resulting in 248 - 20 = 228 mg. Therefore, the patient's final dosage is 228 mg. Option A (20 mg) is incorrect because it only accounts for the second reduction. Option B (42 mg) is incorrect as it doesn't consider both reductions. Option D (248 mg) is incorrect as it doesn't factor in the second reduction.

Correct Answer: D

Rationale: To determine the number of questions Joshua must answer correctly, we can use the inequality 4x > 92, where x represents the number of questions answered correctly. This is because each correct answer earns 4 points, and Joshua needs more than 92 points to qualify for the scholarship. To solve for x, we divide both sides by 4, giving us x > 23. So, Joshua must answer more than 23 questions correctly to qualify. Choices A, B, and C are incorrect because: A (4x < 30): This inequality suggests Joshua needs to answer less than 30 questions in total, which is not relevant to the scholarship qualification. B (4x < 92): This inequality implies Joshua needs less than 92 points, which contradicts the requirement of earning more than 92 points. C (4x > 30): This inequality indicates Joshua needs to answer more than 30 questions in total, but it does not consider the points required for

Correct Answer: D

Rationale: To find the possible costs, we divide the total amount spent by the number of packages: $16/4 packages = $4 per package. Since Hannah spends at least $16, the cost per package must be less than or equal to $4. Therefore, the correct inequality is 16 ≤ 4p (Option D). The other choices are incorrect because they do not accurately represent the relationship between the total spending and the number of packages purchased.

Correct Answer: B

Rationale: The correct answer is B: The grades students received. The dependent variable is the outcome that is being measured or observed in response to changes in the independent variable. In this research study, the grades students received are dependent on the number of hours spent studying, which is the independent variable. The grades received will vary based on the amount of time spent studying. Choices A, C, and D are incorrect because they are not the outcome or response variable being measured in relation to the independent variable of hours spent studying. A is the independent variable, C is not a variable in this context, and D is not directly related to the outcome being measured.